Simplify Square Root of 4648

Here we will show you step-by-step how to simplify the square root of 4648. The square root of 4648 can be written as follows:


	√	4648

The √ symbol is called the radical sign. To simplify the square root of 4648 means to get the simplest radical form of √4648.

Step 1: List Factors
List the factors of 4648 like so:

1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324, 4648

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 4

Step 3: Divide
Divide 4648 by the largest perfect square you found in the previous step:

4648 / 4 = 1162

Step 4: Calculate
Calculate the square root of the largest perfect square:

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4648 in its simplest form:


2	√	1162

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Decimal Form
Square Root of 4648 in Decimal form rounded to nearest 5 decimals:

68.17624

Exponent Form
Square Root of 4648 written with Exponent instead of Radical:

4648^½ = 2 x 1162^½

Simplify Square Root of 4649
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* List of Perfect Squares